Riemannian Geometry


by JasonJo
Tags: geometry, riemannian
JasonJo
JasonJo is offline
#1
Nov27-08, 08:58 PM
JasonJo's Avatar
P: 431
Hey folks,

Is it generally true that for US Math PhD programs, Riemannian geometry is a 2nd year grad course? I was looking at JHU, one of the PhD programs I will be applying to, and they don't require you take any prereq grad courses. And the cirriculum seems to be the standard RG cirriculum: metrics, Jacobi fields, curvature, sectional curvature, Hopf-Rinow, etc.

Some schools require that your first year of grad school is essentially Algebra I, II, Analysis I, II and Topology (with a mix of Geometry via differential forms, deRham cohomology, differentiable manifold, vector fields, tensors, lie derivatives, and so on) I and II.

What are your experiences with this? I don't see why it would be a first year course as not all students are going to be pursuing RG in graduate school anyway while all grad students should know basic grad level analysis, algebra and topology/geometry.
Phys.Org News Partner Science news on Phys.org
Simplicity is key to co-operative robots
Chemical vapor deposition used to grow atomic layer materials on top of each other
Earliest ancestor of land herbivores discovered

Register to reply

Related Discussions
Riemannian Geometry "plan" Science & Math Textbook Listings 0
how do you prove immersion? (Basic Riemannian Geometry) Calculus & Beyond Homework 2
Coordinates in Riemannian Geometry Differential Geometry 1
Riemannian Geometry Differential Geometry 2
Some basic problems in Riemannian Geometry Differential Geometry 17